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Finding the Fourth Proportional to 133,044.40, 199,566.60 and 109,424.80

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Solution

The fourth proportional to 133,044.40, 199,566.60 and 109,424.80 is: 164,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044.40 : 199,566.60 = 109,424.80 : x
  2. Step 2: Convert to fraction form
    133,044.40/199,566.60 = 109,424.80/x
  3. Step 3: Cross multiply
    133,044.40x = 199,566.60 × 109,424.80
  4. Step 4: Simplify right side
    133,044.40x = 21,837,535,291.68
  5. Step 5: Solve for x
    x = 21,837,535,291.68/133,044.40
  6. Step 6: Final answer
    x = 164,137.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.